World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
9904
World Ranking
1345
National Ranking
76

Dirk Kreimer publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Dirk Kreimer sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 130 publications — 27th percentile

27% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Dirk Kreimer D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Dirk Kreimer sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Dirk Kreimer is affiliated with Humboldt-Universität zu Berlin in Germany. Their research spans several interconnected scientific disciplines, focusing mainly on mathematics, physics and astronomy, and computer science.

Their work frequently involves advanced topics in algebra, geometry and topology, and mathematical physics. Kreimer's research encompasses subfields including geometry and topology, computational theory and mathematics, mathematical physics, algebra and number theory, and nuclear and high energy physics.

Main research topics covered by Kreimer include:

  • Topological and geometric data analysis
  • Geometric and algebraic topology
  • Homotopy and cohomology in algebraic topology
  • Advanced topics in algebra
  • Black holes and theoretical physics
  • Noncommutative and quantum gravity theories
  • Graph theory and applications

Recent significant publications by Dirk Kreimer are:

  • Bananas: multi-edge graphs and their Feynman integrals, 2023, Letters in Mathematical Physics
  • Algebraic interplay between renormalization and monodromy, 2023, Advances in Theoretical and Mathematical Physics
  • Algebraic Interplay between Renormalization and Monodromy, 2021, arXiv (Cornell University)
  • Bananas: multi-edge graphs and their Feynman integrals, 2022, arXiv (Cornell University)

They frequently publish in venues such as:

  • arXiv (Cornell University)
  • Letters in Mathematical Physics
  • Communications in Number Theory and Physics
  • Advances in Theoretical and Mathematical Physics

Kreimer often collaborates with other researchers. Notable frequent co-authors include Marko Berghoff and Karen Yeats.

Best Publications

  • Hopf Algebras, Renormalization and Noncommutative Geometry

    Alain Connes;Dirk Kreimer

  • Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

    Alain Connes;Dirk Kreimer

  • On the Hopf algebra structure of perturbative quantum field theories

    Dirk Kreimer

  • Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

    Alain Connes;Dirk Kreimer

  • Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

    David J. Broadhurst;D. Kreimer

  • On Motives Associated to Graph Polynomials

    Spencer Bloch;Hélène Esnault;Dirk Kreimer;Dirk Kreimer

  • Renormalization in quantum field theory and the Riemann-Hilbert problem II: the $eta$-function, diffeomorphisms and the renormalization group

    Alain Connes;Dirk Kreimer

  • Renormalization in quantum field theory and the Riemann-Hilbert problem

    Alain Connes;Dirk Kreimer

  • Knots and numbers in Phi**4 theory to 7 loops and beyond

    David J. Broadhurst;D. Kreimer

  • Anatomy of a gauge theory

    Dirk Kreimer

  • Chen’s iterated integral represents the operator product expansion

    Dirk Kreimer

  • A practicableγ5-scheme in dimensional regularization

    J. G. Körner;D. Kreimer;K. Schilcher

  • Exact solutions of Dyson–Schwinger equations for iterated one-loop integrals and propagator-coupling duality

    D.J. Broadhurst;D. Kreimer

  • ON OVERLAPPING DIVERGENCES

    Dirk Kreimer

  • Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

    Christoph Bergbauer;Dirk Kreimer

  • Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots

    David J. Broadhurst;J.A. Gracey;D. Kreimer

  • The γ5-problem and anomalies — A Clifford algebra approach

    Dirk Kreimer

  • Spitzer's identity and the algebraic Birkhoff decomposition in pQFT

    Kurusch Ebrahimi-Fard;Kurusch Ebrahimi-Fard;Li Guo;Dirk Kreimer;Dirk Kreimer

  • Knots and Feynman Diagrams

    Dirk Kreimer

  • Mixed Hodge structures and renormalization in physics

    Spencer Bloch;Dirk Kreimer

  • An Étude in non-linear Dyson–Schwinger Equations ⁎

    Dirk Kreimer;Karen Yeats

Frequent Co-Authors

Alain Connes
Alain Connes Collège de France
Spencer Bloch
Spencer Bloch University of Chicago
Li Guo
Li Guo Rutgers, The State University of New Jersey

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